유체-구조물 상호작용을 고려한 직사각형 액체저장탱크의 단순해석법 = Simplified Analysis of Rectangular Liquid Storage Tanks Considering Fluid-Structure Interaction

다국어 초록 (Multilingual Abstract)

A simplified method for earthquake response analysis of a rectangular liquid storage tank is proposed with fluid-structure interaction considered. In order to simplify the complex three-dimensional structural behavior of a rectangular liquid storage tank, it is assumed that structural deformation does not occur in the plane parallel to the direction in which the earthquake ground motion is applied but in the plane perpendicular to the direction. The structural deformation is approximated by combining the natural modes of the simple beam and the cantilever beam. The hydrodynamic pressure, the structure’s mass and stiffness, and the hydrodynamic pressure’s added mass are derived by applying the Rayleigh-Ritz method. The natural frequency, structural deformation, pressure, effective mode mass, and effective mode height of the rectangular liquid storage tank are obtained. The structural displacement, hydrodynamic pressure, base shear, and overturning moment are calculated. The seismic response analysis of an example rectangular liquid storage tank is performed using the proposed simplified approach, and its accuracy is verified by comparing the results with the reference solution by the finite element method. Existing seismic design codes based on the hydrodynamic pressure in rigid liquid storage tanks are observed to produce results with significant errors that cannot be ignored.

참고문헌 (Reference)

1 이진호 ; 조정래 ; 한성욱, "유체-구조물-지반 상호작용을 고려한 직사각형 액체저장탱크의 시간영역 지진응답해석" 한국전산구조공학회 33 (33): 383-390, 2020

2 이진호 ; 이세혁, "수평 양방향 지반운동이 작용하는 직사각형 액체저장탱크의 지진응답 특성" 한국전산구조공학회 33 (33): 45-54, 2020

3 Kim JK, "The Soil-Structure Interaction in Three Dimensional Rectangular Liquid Storage Tanks" 18 (18): 775-787, 1998

4 Kim JK, "The Rocking Response of Three Dimensional Rectangular Liquid Storage Tank" 2 (2): 23-34, 1998

5 Kim SE, "State of the Art Review on Behavior of Liquid Storage Tanks Subjected to Earthquake Load" 20 (20): 607-619, 2000

6 New Zealand Society for Earthquake Engineering, "Seismic Design of Storage Tanks" 2009

7 American Concrete Institute, "Seismic Design of Liquid-Containing Concrete Structures and Commentary (ACI 350.3-06)"

8 Lee CB, "Nonlinear Dynamic Response of a Concrete Rectangular Liquid Storage Tank on Rigid Soil Subjected to Three-Directional Ground Motion" 11 : 4688-, 2021

9 Committee on Gas and Liquid Fuel Lifelines of the ASCE Technical Council on Lifeline Earthquake Engineering, "Guidelines for the Seismic Design of Oil and Gas Pipeline Systems"

10 Koh HM, "Fluid-Structure Interaction Analysis of 3-D Rectangular Tanks by a Variationally Coupled BEM-FEM and Comparison with Test Results" 27 : 109-124, 1998

11 European Committee for Standardization, "Eurocode 8: Design of structures for earthquake resistance – Part 4: Silos, tanks and pipelines"

12 Chopra AK, "Dynamics of Structures. Theory and Applications to Earthquake Engineering" Pearson Education Inc 2017

13 Hashemi S, "Dynamic analysis of flexible rectangular fluid containers subjected to horizontal ground motion" 42 : 1637-1656, 2013

14 Kim JK, "Dynamic Response of Rectangular Flexible Fluid Containers" 122 (122): 807-817, 1996

15 Housner GW, "Dynamic Pressure on Fluid Containers. Technical Information (TID) Document 7024, Chapter 6 and Appendix F"